3.63 Integrals 6201 to 6300

  3.63.1 \(\int \frac {e^{\frac {1}{12} e^{-5+2 x}} (-2-\frac {1}{3} e^{-5+2 x} x \log (x))}{25 x-10 e^{\frac {1}{12} e^{-5+2 x}} x \log (x)+e^{\frac {1}{6} e^{-5+2 x}} x \log ^2(x)} \, dx\)
  3.63.2 \(\int \frac {640 x-480 x^2-1640 x^3+1190 x^4+810 x^5-490 x^6-190 x^7+60 x^8+20 x^9+e^{\frac {16}{16-8 x-7 x^2+2 x^3+x^4}} (-1280-1920 x+5360 x^2+4540 x^3-1330 x^4-390 x^5+170 x^6+50 x^7)}{-64 x^3+48 x^4+36 x^5-23 x^6-9 x^7+3 x^8+x^9} \, dx\)
  3.63.3 \(\int \frac {(-12 x^2+12 x^2 \log (1-x)) \log (5-4 x+(-2+2 x) \log (1-x))+(30 x-24 x^2+(-12 x+12 x^2) \log (1-x)) \log ^2(5-4 x+(-2+2 x) \log (1-x))}{5-4 x+(-2+2 x) \log (1-x)} \, dx\)
  3.63.4 \(\int \frac {2+4 x+e^{-2 x} (-x+2 x^2)}{10 x+4 x^2-e^{-2 x} x^2+2 x \log (x)} \, dx\)
  3.63.5 \(\int \frac {-6-x+x^2+x \log (5)}{-3 x+x^2} \, dx\)
  3.63.6 \(\int \frac {-16 x^2+(36-212 x-8 x^2) \log ^2(5)+(-616-53 x-x^2) \log ^4(5)}{-48 x^2+16 x^3+(-600 x+176 x^2+8 x^3) \log ^2(5)+(-1875+475 x+47 x^2+x^3) \log ^4(5)} \, dx\)
  3.63.7 \(\int \frac {-x+(-3-5 x+2 x^2+e^x (-3 x+x^2)) \log (-3+x)+(-3+x) \log (-3+x) \log (\frac {4 e^{-e^x} \log (-3+x)}{x})}{(-6 x^2+2 x^3) \log (-3+x)} \, dx\)
  3.63.8 \(\int \frac {100 e^{\frac {3 (8+2 x)}{x^2}} x^2+e^{\frac {2 (8+2 x)}{x^2}} (400+50 x+25 x^2)}{-8 x^5+e^{\frac {3 (8+2 x)}{x^2}} (8 e^3 x^2-96 e^2 x^3+384 e x^4-512 x^5)+e^{\frac {2 (8+2 x)}{x^2}} (-24 e^2 x^3+192 e x^4-384 x^5)+e^{\frac {8+2 x}{x^2}} (24 e x^4-96 x^5)} \, dx\)
  3.63.9 \(\int \frac {1}{8} (5 x+15 x^2+10 x^3+e^{2 x} (30 x+45 x^2)+e^x (-25 x-55 x^2-15 x^3)+(e^{2 x} (-25 x-30 x^2)+e^x (10 x+20 x^2+5 x^3)) \log (2 x)+e^{2 x} (5 x+5 x^2) \log ^2(2 x)) \, dx\)
  3.63.10 \(\int \frac {-8192-25 x^3+25 x^5}{2048 x+25 x^4+25 x^6} \, dx\)
  3.63.11 \(\int \frac {1}{25} (-27 e^2 x^2+\frac {1}{25} e^{4+x} (30 x+15 x^2)) \, dx\)
  3.63.12 \(\int \frac {x^2+e^{\frac {-6+x+x^2}{x}} (6+x^2)+e^{x^2} (-x^2+2 e x^3-2 x^4)}{e^{\frac {-6+x+x^2}{x}} x^2+x^3+e^{x^2} (e x^2-x^3)} \, dx\)
  3.63.13 \(\int \frac {x+2 x^3 \log (\frac {2}{x})+((-x^3+x \log (5)) \log (\frac {2}{x})+x \log (\frac {2}{x}) \log (\log (\frac {2}{x}))) \log (-x^2+\log (5)+\log (\log (\frac {2}{x})))+((-x^2+x^3+(1-x) \log (5)) \log (\frac {2}{x})+(1-x) \log (\frac {2}{x}) \log (\log (\frac {2}{x}))) \log ^2(-x^2+\log (5)+\log (\log (\frac {2}{x})))}{((-x^4+x^2 \log (5)) \log (\frac {2}{x})+x^2 \log (\frac {2}{x}) \log (\log (\frac {2}{x}))) \log (-x^2+\log (5)+\log (\log (\frac {2}{x})))+((-5 x^3+x^4+(5 x-x^2) \log (5)) \log (\frac {2}{x})+(-x^3+x \log (5)) \log (\frac {2}{x}) \log (x)+((5 x-x^2) \log (\frac {2}{x})+x \log (\frac {2}{x}) \log (x)) \log (\log (\frac {2}{x}))) \log ^2(-x^2+\log (5)+\log (\log (\frac {2}{x})))} \, dx\)
  3.63.14 \(\int \frac {(36 x^2+48 x^3-44 x^4-4 e^x x^4-16 x^5+4 x^6) \log (5+x^2)+(-90-60 x-18 x^2-32 x^3+10 x^4-4 x^5+2 x^6+e^x (-5 x^3-x^5)) \log ^2(5+x^2)}{5 x^3+x^5} \, dx\)
  3.63.15 \(\int \frac {e^x (-6+11 x-3 e^3 x)+e^x (5 x+x^2) \log (x)}{1008 x-504 e^3 x+63 e^6 x+(1008 x+168 x^2+e^3 (-252 x-42 x^2)) \log (x)+(252 x+84 x^2+7 x^3) \log ^2(x)} \, dx\)
  3.63.16 \(\int \frac {180+90 x^2+360 e x^2-90 e^6 x^2+30 x^3-90 e^2 x^3}{144+1152 x+2160 x^2+9 e^{20} x^2-600 x^3-60 x^4+12 x^5-144 e^3 x^5+x^6+9 e^4 x^6+e^{15} (-144 x^2+36 e x^3)+e^{10} (72 x+864 x^2-36 x^3-432 e x^3-6 x^4+54 e^2 x^4)+e (-576 x^2-2304 x^3+288 x^4+48 x^5)+e^2 (72 x^3+864 x^4-36 x^5-6 x^6)+e^5 (-576 x-2304 x^2+288 x^3+48 x^4-432 e^2 x^4+36 e^3 x^5+e (144 x^2+1728 x^3-72 x^4-12 x^5))} \, dx\)
  3.63.17 \(\int \frac {e^{-5+e^{2 e^{-x}}} (e^x (50 e^6-25 x-50 e^3 x)+e^x (-100 e^3+50 x) \log (x)+50 e^x \log ^2(x)+e^{2 e^{-x}} (-100 e^6 x+50 e^3 x^2+(200 e^3 x-50 x^2) \log (x)-100 x \log ^2(x)))}{e^{6+x}-2 e^{3+x} \log (x)+e^x \log ^2(x)} \, dx\)
  3.63.18 \(\int \frac {-2+e^x (5-5 x)+e^{3 e^{x^2}-3 x} (-5-15 x+30 e^{x^2} x^2)}{5 x^2} \, dx\)
  3.63.19 \(\int \frac {e^{-12+x} (-25+25 x)}{x^2} \, dx\)
  3.63.20 \(\int \frac {-3 e^{e^4+\frac {3}{2+2 x}}+e^{\frac {3}{2+2 x}} (5-99 x-123 x^2-100 x^3)}{2+4 x+2 x^2} \, dx\)
  3.63.21 \(\int \frac {-10 x+e^{3/4} x-x^4+(50-50 x^3-x^6+e^{3/4} (-5+4 x^3)) \log (x)+(-20 x+2 e^{3/4} x+x^4) \log (x) \log (\log (x))}{(25 x^2-10 x^5+x^8) \log (x)+(-10 x^3+2 x^6) \log (x) \log (\log (x))+x^4 \log (x) \log ^2(\log (x))} \, dx\)
  3.63.22 \(\int -\frac {18 x}{25} \, dx\)
  3.63.23 \(\int \frac {24375+4500 x+4110 x^2+364 x^3+156 x^4}{24375 x+4525 x^2+4110 x^3+362 x^4+156 x^5} \, dx\)
  3.63.24 \(\int \frac {30+3 x^2-24 x^3+(-24-6 x+36 x^2) \log (9)-12 \log ^2(9)}{2 x^2-4 x \log (9)+2 \log ^2(9)} \, dx\)
  3.63.25 \(\int e^{-e^x x} (e^{2 x} (-3-6 x)+e^{e^x x} (9+6 x)+e^{3 x} (3 x+3 x^2)) \, dx\)
  3.63.26 \(\int \frac {-25+256 x+500 e^{4 x} x+1472 x^2+4080 x^3+7220 x^4+8500 x^5+6900 x^6+3500 x^7+1000 x^8+e^{3 x} (1700 x+2500 x^2+1500 x^3)+e^{2 x} (2160 x+6300 x^2+8400 x^3+6000 x^4+1500 x^5)+e^x (1216 x+5280 x^2+10860 x^3+13700 x^4+10200 x^5+4500 x^6+500 x^7)}{125 x} \, dx\)
  3.63.27 \(\int \frac {1}{13} (-39+10 e^{5 x}) \, dx\)
  3.63.28 \(\int \frac {e^{-\frac {4 x^2}{25}} (e^{20+4 x} (-9375+12500 x-1000 x^2)+e^{15+3 x+\frac {26 x^2}{25}} (5000 x-7500 x^2-4400 x^3)+e^{10+2 x+\frac {52 x^2}{25}} (-750 x^2+1500 x^3+2880 x^4)+e^{5+x+\frac {78 x^2}{25}} (-100 x^4-592 x^5)+e^{\frac {104 x^2}{25}} (5 x^4+40 x^6))}{5 x^4} \, dx\)
  3.63.29 \(\int \frac {188-62 \log (x^2)+(-3+\log (x^2)) \log (3-\log (x^2))}{-45+15 \log (x^2)} \, dx\)
  3.63.30 \(\int \frac {-162-486 x-x^3-3 x^4+(-729 x+9 x^4+(-243 x+3 x^4) \log (\frac {-81+x^3}{x^2})) \log (3+\log (\frac {-81+x^3}{x^2}))}{(-729 x+9 x^4+(-243 x+3 x^4) \log (\frac {-81+x^3}{x^2})) \log ^2(3+\log (\frac {-81+x^3}{x^2}))} \, dx\)
  3.63.31 \(\int (5000 x-12000 x^3+8400 x^5-2400 x^7+250 x^9+e^{2 x} (50 x+50 x^2)+e^x (1000 x+500 x^2-1200 x^3-300 x^4+300 x^5+50 x^6)) \, dx\)
  3.63.32 \(\int \frac {-2 e-3 x^2}{e} \, dx\)
  3.63.33 \(\int \frac {1+18 x+e^x (-36+e^x (-36-72 x)-36 x) x}{9 x} \, dx\)
  3.63.34 \(\int \frac {-2 x-x^3+(2 x+3 x^2) \log (x)-3 x \log ^2(x)+\log ^3(x)}{(-x^3-x^4+(x^2+3 x^3) \log (x)-3 x^2 \log ^2(x)+x \log ^3(x)) \log (\frac {x^2+x^3-2 x^2 \log (x)+x \log ^2(x)}{x^2-2 x \log (x)+\log ^2(x)}) \log (\log (\frac {x^2+x^3-2 x^2 \log (x)+x \log ^2(x)}{x^2-2 x \log (x)+\log ^2(x)}))} \, dx\)
  3.63.35 \(\int \frac {1}{3} (5+5 e^3+5 \log (4)) \, dx\)
  3.63.36 \(\int \frac {1}{2} (3+e (-2-4 x)-18 x-9 x^2) \, dx\)
  3.63.37 \(\int \frac {e^{-x+\frac {e^{-x} (2 e^x+5 x)}{\log (-3+2 x)}} (100 e^x+250 x+(375-625 x+250 x^2) \log (-3+2 x))}{(-3+2 x) \log ^2(-3+2 x)} \, dx\)
  3.63.38 \(\int \frac {-4+6 x+(-2+2 x+(2-2 x) \log (2 x^2-2 x^3)) \log (1-\log (2 x^2-2 x^3))}{x^2-x^3+(-x^2+x^3) \log (2 x^2-2 x^3)} \, dx\)
  3.63.39 \(\int \frac {9-10 e^x+e^{2 x}+(16-8 e^x x) \log (x)+(20-4 e^x) \log (\frac {3 x}{2})+4 \log ^2(\frac {3 x}{2})}{81 x-18 e^x x+e^{2 x} x+(36 x-4 e^x x) \log (\frac {3 x}{2})+4 x \log ^2(\frac {3 x}{2})} \, dx\)
  3.63.40 \(\int \frac {e^2 x^2+e^{25+e^{2 x}+10 x+11 x^2+2 x^3+x^4+e^x (-10-2 x-2 x^2)} (-4 e^{2+2 x} x+e^{2+x} (24 x+12 x^2+4 x^3)+e^2 (2-20 x-44 x^2-12 x^3-8 x^4))}{x^2} \, dx\)
  3.63.41 \(\int \frac {e^{\frac {1}{5} (-15 x+10 x^2+4 x^3)} (-15+20 x+12 x^2)}{-25+5 e^{\frac {1}{5} (-15 x+10 x^2+4 x^3)}} \, dx\)
  3.63.42 \(\int (1+e^{4 e^2-x}+18 x) \, dx\)
  3.63.43 \(\int \frac {x^2+4 x \log (2)+4 \log ^2(2)+e^{x+x^2} (2-2 x-4 x^2+(-4-8 x) \log (2))}{x^2+4 x \log (2)+4 \log ^2(2)} \, dx\)
  3.63.44 \(\int (1-6 x+e^x (1+x)+e^{1+x} (-2 x-x^2)) \, dx\)
  3.63.45 \(\int \frac {-3-3 x-19 x^2}{3 x+19 x^2} \, dx\)
  3.63.46 \(\int e^{-e^{625} x} (-24+e^{e^{625} x}+24 e^{625} x) \, dx\)
  3.63.47 \(\int \frac {1800 x^7+2880 x^8+1152 x^9+(1200 x^7+960 x^8) \log (5)+200 x^7 \log ^2(5)+e^{e^{\frac {-3+15 x+12 x^2+5 x \log (5)}{15+12 x+5 \log (5)}}+\frac {-3+15 x+12 x^2+5 x \log (5)}{15+12 x+5 \log (5)}} (-783-1080 x-432 x^2+(-450-360 x) \log (5)-75 \log ^2(5))}{225+360 x+144 x^2+(150+120 x) \log (5)+25 \log ^2(5)} \, dx\)
  3.63.48 \(\int -\frac {4 e^{224/9}}{-x+3 e^{224/9} x+2 e^{224/9} x \log (\frac {e^4}{x^2})} \, dx\)
  3.63.49 \(\int \frac {(8 x^2-50 x^3-2 x^4-16 x^5+100 x^6+4 x^7) \log ^2(\frac {1}{x})+(8-50 x-2 x^2) \log (4-25 x-x^2)+\log (\frac {1}{x}) (-50 x-4 x^2+(-8+50 x+2 x^2) \log (4-25 x-x^2))}{(-4 x^2+25 x^3+x^4) \log ^2(\frac {1}{x})} \, dx\)
  3.63.50 \(\int \frac {e^{2 x} (4 x+16 x^2)+e^x (-8 x-32 x^2) \log (3)+(4 x+16 x^2) \log ^2(3)+(e^{2 x} (-8 x-16 x^2)-8 x^3 \log (3)+(-8 x-16 x^2) \log ^2(3)+e^x (8 x^3+(16 x+32 x^2) \log (3))) \log (x)-4 e^x x^4 \log ^2(x)}{(e^{2 x} (1+8 x+16 x^2)+e^x (-2-16 x-32 x^2) \log (3)+(1+8 x+16 x^2) \log ^2(3)) \log ^2(x)+(e^x (2 x^2+8 x^3)+(-2 x^2-8 x^3) \log (3)) \log ^3(x)+x^4 \log ^4(x)} \, dx\)
  3.63.51 \(\int \frac {-26 x^2+e^x (-3+3 x)}{2 x^2} \, dx\)
  3.63.52 \(\int \frac {4 x^2-4 e^{16} \log (4)}{x^2 \log (4)} \, dx\)
  3.63.53 \(\int \frac {1}{3} (-12 x+6 x^2+(-4 x+2 x^2) (i \pi +\log (\log (3)))+\log (x^2) (-12 x+9 x^2+(-4 x+3 x^2) (i \pi +\log (\log (3))))) \, dx\)
  3.63.54 \(\int \frac {27 e^{17}-4 x^2}{6 x^2} \, dx\)
  3.63.55 \(\int \frac {40+2 x^5+(5-x^5) \log (\frac {25-10 x^5+x^{10}}{x^8})}{-30 x^2+6 x^7} \, dx\)
  3.63.56 \(\int \frac {e^{-\frac {5 x}{-1+5 x}} (3-45 x+75 x^2+e^{\frac {5 x}{-1+5 x}} (-x^2+10 x^3-25 x^4))}{x^2-10 x^3+25 x^4} \, dx\)
  3.63.57 \(\int \frac {5 x^2+2 x^3+x^4+(-10 x-4 x^2-2 x^3) \log (\frac {5+2 x+x^2}{5 x+e^3 x})+(5+2 x+x^2) \log ^2(\frac {5+2 x+x^2}{5 x+e^3 x})+(5-x^2+(5+2 x+x^2) \log (\frac {5+2 x+x^2}{5 x+e^3 x})) \log (\log (3))}{5 x^2+2 x^3+x^4+(-10 x-4 x^2-2 x^3) \log (\frac {5+2 x+x^2}{5 x+e^3 x})+(5+2 x+x^2) \log ^2(\frac {5+2 x+x^2}{5 x+e^3 x})} \, dx\)
  3.63.58 \(\int \frac {36864+e^7+384 e x+e^2 x^2}{36864+384 e x+e^2 x^2} \, dx\)
  3.63.59 \(\int \frac {24 e^2 x^4-e^{2+x} x^6-108 e^2 x^3 \log (x)+(-180 e^2 x^3+12 e^{2+x} x^5) \log ^2(x)+324 e^2 x^2 \log ^3(x)+(729 e^2 x^2-54 e^{2+x} x^4) \log ^4(x)+(-1620 e^2 x+108 e^{2+x} x^3) \log ^6(x)+(1215 e^2-81 e^{2+x} x^2) \log ^8(x)}{576 x^4+240 x^5+25 x^6+e^{2 x} x^6+e^x (48 x^5+10 x^6)+(-4320 x^3-2340 x^4-300 x^5-12 e^{2 x} x^5+e^x (-468 x^4-120 x^5)) \log ^2(x)+(14580 x^2+8910 x^3+1350 x^4+54 e^{2 x} x^4+e^x (1782 x^3+540 x^4)) \log ^4(x)+(-24300 x-16200 x^2-2700 x^3-108 e^{2 x} x^3+e^x (-3240 x^2-1080 x^3)) \log ^6(x)+(18225+12150 x+2025 x^2+81 e^{2 x} x^2+e^x (2430 x+810 x^2)) \log ^8(x)} \, dx\)
  3.63.60 \(\int \frac {e^{-e^x x-\log ^2(-x+\log (x))} x (-x+e^x (x^2+x^3)+(1+e^x (-x-x^2)) \log (x)+(-2+2 x) \log (-x+\log (x)))}{-x^2+x \log (x)} \, dx\)
  3.63.61 \(\int \frac {(-36+12 x) \log (x) \log (3 x^2)+(-9+3 x-9 \log (x)) \log ^2(3 x^2)+(-12+7 x-x^2+(-12+x^2) \log (x)) \log ^4(3 x^2)}{81-54 x+9 x^2+(216-198 x+60 x^2-6 x^3) \log ^2(3 x^2)+(144-168 x+73 x^2-14 x^3+x^4) \log ^4(3 x^2)} \, dx\)
  3.63.62 \(\int \frac {-12+e^{4+4 x} (-1-x)-15 x-9 x^2-x^3+e^{2+2 x} (7+8 x+6 x^2)+(-x+2 e^{2+2 x} x) \log (x)}{16 x+e^{4+4 x} x+8 x^2+x^3+e^{2+2 x} (-8 x-2 x^2)} \, dx\)
  3.63.63 \(\int \frac {-750+300 x-30 x^2+e^{-\frac {1}{-30+6 x}} (-750+295 x-30 x^2)}{(150+690 x-294 x^2+30 x^3+e^{-\frac {1}{-30+6 x}} (750 x-300 x^2+30 x^3)) \log (\frac {5}{1+5 x+5 e^{-\frac {1}{-30+6 x}} x})} \, dx\)
  3.63.64 \(\int \frac {e^{-1-x+x \log (2)+x^2 \log (\frac {1}{-4 x+x^2})} (4+3 x-2 x^2+(-4+x) \log (2)+(-8 x+2 x^2) \log (\frac {1}{-4 x+x^2}))}{-16+4 x} \, dx\)
  3.63.65 \(\int \frac {x+e^x (x+x^2)+(x+e^x (x+x^2)) \log (x)+\log (e^5 x)+(1+\log (x)) \log (1+\log (x))}{x+x \log (x)} \, dx\)
  3.63.66 \(\int \frac {-8 x+10 x^2-2 x^3+e^{2+2 x} (-20-6 x+2 x^2)+e^{1+x} (16-2 x-8 x^2+2 x^3)+e^{\frac {x^2}{4}} (-2 x+2 x^2+e^{1+x} (4-3 x^2)+e^{2+2 x} (-4+x^2))+(e^{2+2 x} (10-2 x)+e^{1+x} (-8+10 x-2 x^2)+e^{\frac {x^2}{4}} (e^{2+2 x} (2-x)+e^{1+x} (-2+2 x))) \log (-4-e^{\frac {x^2}{4}}+x)}{e^{2+2 x+\frac {x^2}{4}}+e^{2+2 x} (4-x)} \, dx\)
  3.63.67 \(\int \frac {-e^{e^x} x+e^{e^{-e^x} (x+e^{e^x} (1+x))} (-x-e^{e^x} x+e^x x^2)+(e^{e^x+e^{-e^x} (x+e^{e^x} (1+x))}+e^{e^x} x) \log (e^{e^{-e^x} (x+e^{e^x} (1+x))}+x)}{(e^{e^x+e^{-e^x} (x+e^{e^x} (1+x))}+e^{e^x} x) \log ^2(e^{e^{-e^x} (x+e^{e^x} (1+x))}+x)} \, dx\)
  3.63.68 \(\int \frac {-1+64 x+8 x^2+e^5 (-96 x^2-12 x^3)+(-16 x-2 x^2+e^5 (24 x^2+3 x^3)) \log (8+x)}{-32-4 x+(8+x) \log (8+x)} \, dx\)
  3.63.69 \(\int \frac {4 x+32 x^2+8 x \log (2 x)}{1+24 x+192 x^2+512 x^3} \, dx\)
  3.63.70 \(\int \frac {e^{-2 x} (e^5 (3 x^3-2 x^4)+e^{2 x} (2+e^5 (-x-2 x^2)))}{2 x} \, dx\)
  3.63.71 \(\int \frac {x-2 x^2+2 \log (x)}{x} \, dx\)
  3.63.72 \(\int \frac {-6-x^2+8 e^{3-4 x} x^2}{2 x^2} \, dx\)
  3.63.73 \(\int \frac {10368-55296 x+110592 x^2-183624 x^3+473408 x^4-852480 x^5+748360 x^6-321920 x^7+172800 x^8-153600 x^9+51200 x^{10}+(-53280 x^3+193920 x^4-232960 x^5+113760 x^6-86400 x^7+115200 x^8-51200 x^9) \log (x)+(-8280 x^3+17280 x^4-8320 x^5+10800 x^6-28800 x^7+19200 x^8) \log ^2(x)+(2400 x^6-3200 x^7) \log ^3(x)+200 x^6 \log ^4(x)}{1296 x-6912 x^2+13824 x^3-15528 x^4+21376 x^5-34560 x^6+32745 x^7-21040 x^8+21600 x^9-19200 x^{10}+6400 x^{11}+(-2160 x^4+8640 x^5-11520 x^6+7820 x^7-10800 x^8+14400 x^9-6400 x^{10}) \log (x)+(-360 x^4+960 x^5-640 x^6+1350 x^7-3600 x^8+2400 x^9) \log ^2(x)+(300 x^7-400 x^8) \log ^3(x)+25 x^7 \log ^4(x)} \, dx\)
  3.63.74 \(\int \frac {-732656250+46976265 x-1128063 x^2+12024 x^3-48 x^4+(-117206250+5632800 x-90120 x^2+480 x^3) \log (x)+(-7031625+225150 x-1800 x^2) \log ^2(x)+(-187500+3000 x) \log ^3(x)-1875 \log ^4(x)+(6250-2605 x+40 x^2+(250-100 x) \log (x)) \log (x^3)}{244140625 x-15656250 x^2+376001 x^3-4008 x^4+16 x^5+(39062500 x-1877500 x^2+30040 x^3-160 x^4) \log (x)+(2343750 x-75050 x^2+600 x^3) \log ^2(x)+(62500 x-1000 x^2) \log ^3(x)+625 x \log ^4(x)} \, dx\)
  3.63.75 \(\int \frac {-3-\log (x)-\log (\log (3))}{16+8 \log (x)+\log ^2(x)+(8+2 \log (x)) \log (\log (3))+\log ^2(\log (3))} \, dx\)
  3.63.76 \(\int \frac {4-4 x+9 x^2-x^3-x^4+x^5+e^{4 x} (1+x)+e^{2 x} (6 x+2 x^3)+(-2 x+2 x^3+e^{2 x} (2+2 x)) \log (x)+(1+x) \log ^2(x)}{e^{4 x} x+x^3-2 x^4+x^5+e^{2 x} (-2 x^2+2 x^3)+(2 e^{2 x} x-2 x^2+2 x^3) \log (x)+x \log ^2(x)} \, dx\)
  3.63.77 \(\int -\frac {9 e^{\frac {16}{e^2}}}{81 e^8 x+18 e^4 x \log (x)+x \log ^2(x)} \, dx\)
  3.63.78 \(\int \frac {14 e^4 x-324 x^4+27 x^6+10206 x^9+e^2 (-4+3 x^2-756 x^5)}{e^4-54 e^2 x^4+729 x^8} \, dx\)
  3.63.79 \(\int (-58 x+3 x^2+e^x (2 x+x^2)) \, dx\)
  3.63.80 \(\int (-48 x^2+128 x^3-120 x^4+48 x^5-7 x^6+(96 x^2-192 x^3+120 x^4-24 x^5) \log (9)+(-72 x^2+96 x^3-30 x^4) \log ^2(9)+(24 x^2-16 x^3) \log ^3(9)-3 x^2 \log ^4(9)) \, dx\)
  3.63.81 \(\int \frac {137 x^2+54 x^3+5 x^4-8 x \log (\frac {29+5 x}{5+x})+(-145-54 x-5 x^2) \log ^2(\frac {29+5 x}{5+x})}{290 x^2+108 x^3+10 x^4} \, dx\)
  3.63.82 \(\int \frac {10 x^3+(45 x^2-15 x^3) \log (-3+x)+(-75+25 x+e^{x^2} (-15+5 x-30 x^2+10 x^3)+(-30 x+10 x^2) \log (3)) \log ^3(-3+x)}{(-3+x) \log ^3(-3+x)} \, dx\)
  3.63.83 \(\int \frac {-20+15 x-5 x^2-5 \log (4)}{48-40 x+27 x^2-9 x^3+x^4+(24-14 x+10 x^2-2 x^3) \log (3)+(3-x+x^2) \log ^2(3)+(16-8 x+x^2+(8-2 x) \log (3)+\log ^2(3)) \log (4)+(24-14 x+10 x^2-2 x^3+(6-2 x+2 x^2) \log (3)+(8-2 x+2 \log (3)) \log (4)) \log (-3+x-x^2-\log (4))+(3-x+x^2+\log (4)) \log ^2(-3+x-x^2-\log (4))} \, dx\)
  3.63.84 \(\int \frac {e^{\frac {9}{-48 x-24 x \log (2)-3 x \log ^2(2)+e^e (16 x+8 x \log (2)+x \log ^2(2))}} (-9-48 x-24 x \log (2)-3 x \log ^2(2)+e^e (16 x+8 x \log (2)+x \log ^2(2)))}{-48 x-24 x \log (2)-3 x \log ^2(2)+e^e (16 x+8 x \log (2)+x \log ^2(2))} \, dx\)
  3.63.85 \(\int (1-13 x-2 x \log (x)) \, dx\)
  3.63.86 \(\int \frac {-162+460 x-75 x^2+(54-153 x+24 x^2) \log (6-x)}{-6 x^{10}+x^{11}} \, dx\)
  3.63.87 \(\int \frac {e^{-x} (12+e^x (-4 x-4 x \log (5))+(-12 x-4 e^x x) \log (x))}{3 x} \, dx\)
  3.63.88 \(\int \frac {-4+2 x+x^2+e (-3+3 x)+e^5 (2 x-x^2)}{-4 x-3 e x-x^2+e^5 x^2} \, dx\)
  3.63.89 \(\int (-4-2 x) \, dx\)
  3.63.90 \(\int \frac {-3 x^2+4 x^3+(-3+4 x-3 x^2) \log (x)+(-3+4 x-4 x \log (x)+3 \log ^2(x)) \log (\frac {1}{3} (3-4 x+3 \log (x)))}{3 x^2-4 x^3+3 x^2 \log (x)} \, dx\)
  3.63.91 \(\int \frac {e^{e^{-x+25 \log ^{18-12 x+2 x^2}(e^3 x)}-x+25 \log ^{18-12 x+2 x^2}(e^3 x)} (-x \log (e^3 x)+\log ^{18-12 x+2 x^2}(e^3 x) (450-300 x+50 x^2+(-300 x+100 x^2) \log (e^3 x) \log (\log (e^3 x))))}{x \log (e^3 x)} \, dx\)
  3.63.92 \(\int \frac {1+(-3-x) \log ^2(3) \log ^2(3+x)}{(3+x) \log ^2(3) \log ^2(3+x)} \, dx\)
  3.63.93 \(\int \frac {3 e^{x+x^2}+e^{x+x^2} (-3+15 x-6 x^2) \log (x)+e^x (-1+5 x) \log ^2(x)+(-3 e^{x+x^2} x \log (x)-e^x x \log ^2(x)) \log (\frac {e^{-1/e} (3 e^{x^2} x+x \log (x))}{\log (x)})}{3 e^{x^2} x \log (x)+x \log ^2(x)} \, dx\)
  3.63.94 \(\int (1+e^{-10 x-5 e^{x^4} x+10 x^2} (-10+20 x+e^{x^4} (-5-20 x^4))) \, dx\)
  3.63.95 \(\int e^{\frac {1+e^{67} (-20+3 x-e^2 x)}{e^{67}}} (3-e^2) \, dx\)
  3.63.96 \(\int \frac {1}{8} e^{\frac {1}{2} (-2 x \log (3)-e^x (1-2 x^2 \log (3)))} (8+(10-8 x) \log (3)+e^x (5-4 x+(-20 x+6 x^2+8 x^3) \log (3))) \, dx\)
  3.63.97 \(\int e^{-\frac {5}{x}+e^{-5/x} (104976 x^3+16 e^{2 x} x^3+51840 x^4+8992 x^5+640 x^6+16 x^7+e^x (-2592 x^3-640 x^4-32 x^5))} (524880 x+574128 x^2+252320 x^3+48160 x^4+3920 x^5+112 x^6+e^{2 x} (80 x+48 x^2+32 x^3)+e^x (-12960 x-10976 x^2-5312 x^3-800 x^4-32 x^5)) \, dx\)
  3.63.98 \(\int \frac {375 x+(3-375 x) \log (\frac {1}{125} (1-125 x))}{-x^2+125 x^3+(-2 x+250 x^2) \log (\frac {1}{125} (1-125 x))+(-1+125 x) \log ^2(\frac {1}{125} (1-125 x))} \, dx\)
  3.63.99 \(\int \frac {-18-36 x+36 x^3+108 x^4+216 x^5+216 x^6+72 x^7+e^{2 x} (18 x^3+54 x^4+54 x^5+18 x^6)+e^x (-18 x-36 x^2-36 x^3-126 x^4-216 x^5-144 x^6-36 x^7)}{x^3+3 x^4+3 x^5+x^6} \, dx\)
  3.63.100 \(\int \frac {e^x (x^4-x^5)+e^{\frac {e^{4 x}}{x^4}} (e^{5 x} (-4+4 x)+e^{4 x} (12 x-12 x^2))}{e^x x^5-3 x^6} \, dx\)